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RideAnS [48]
2 years ago
8

Pls help me with number

Mathematics
1 answer:
vredina [299]2 years ago
7 0

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\

\sf \text{Number of women =$\dfrac{1}{3}x$}

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\

      x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x   = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\          \dfrac{5}{12}x=100\\

          \sf x = 100*\dfrac{12}{5}\\

          x = 20 * 12

          x = 240

<h3>             Total number of people = 240</h3>
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